QUESTION

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The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are $640 \mathrm{ft}$ of fencing available to fence the other three sides. Let $x$ represent the length of each of the two parallel sides of fencing. (a) Express the length of the remaining side to be fenced in terms of $x$. (b) What are the restrictions on $x$ ? (c) Determine a function A that represents the area of the parking lot in terms of $x$. (d) Determine the values of $x$ that will give an area between 30,000 and 40,000 $\mathrm{ft}^{2}$. (e) What dimensions will give a maximum area, and what will this area be? (a) The length of the remaining side to be fenced in terms of $x$ is (Do not factor.)

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